Proving Triangles Congruent Review

Which option does not work to prove triangles congruent?

• SSS

• SAS

• ASA

• HL

• SSA

What is statement #4?

• ∆HFG≅∆IHF

• ∆FHG≅∆IHF

• ∆GFH≅∆IFH

• ∆HFG≅∆IFH

What is statement #6?

• BC≅BC

• BC≅DA

• ∠BCD≅BAC

• AB≅CD

After proving the triangles are congruent by HL Theorem, which statements are true for CPCTC?

The fence has parallel supports and a crossbar that forms two triangles. Match the reasons to their corresponding statements in the image to complete the proof. Given: ∠B and ∠D are right angles. AD || BC. Prove: △ABC ≅ △CDA

• Given (angles)

• Definition of right triangle

• Given (line segments)

• Reflexive Property of Congruence

• HA

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

• T

• ∠T

• ∠M

• ∠L

Remember order matters. Which of the following is true?

• ∆JLK ≅ ∆XWJ

• ∆LJK ≅ ∆JWX

• ∆JKL ≅ ∆JXW

• ∆LKJ ≅ ∆JXW

Complete the congruence statement.

• OEG

• OGE

• EGO

• GOE

In congruent triangles, corresponding parts are always ______.

• opposite

• equal

• equilateral

• acute

Shapes that are the same shape and the same size are ________.

• similar

• unique

• congruent

• corresponding